HOW TO CALCULATE

Question

A Z-score for a test value of 70% is 0, and a Z-score of 1.0 corresponds to a test score of 74%. Match the remaining Z-scores with the standard deviations

Answer 1

z scores are the number of standard deviations from the mean.

In this problem, one standard deviation is 4, two is 8, three 9.

+/- 0: 70, 70:  added 0 fours and subtracted 0 fours,

+/- 1: 74, 66: added 1 four and subtracted one four,

+/- 2: 78, 62: added 2 fours to 70 and subtracted two fours from 70,

+/- 3: 82, 58